Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td align="left"> Sample</td><td align="center"><span style="width: 18.4375px;"><svg height="10.925" id="M87" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 18.4375 10.925" width="18.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.9,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">∞</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center"><svg height="12.925" id="M88" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 16.737499 12.925" width="16.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.925)">
<g transform="translate(72,-61.66)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.44,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑝</tspan>
</text>
</g>
</g>
</svg><br/>(10<sup>14</sup> rad·S<sup>−1</sup>)</td><td align="center"><svg height="6.8874998" id="M89" style="vertical-align:-0.0627pt" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,6.8875)">
<g transform="translate(72,-66.49)">
<text transform="matrix(1,0,0,-1,-71.95,66.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
</text>
</g>
</g>
</svg><br/>   (10<sup>−15</sup> s)</td><td align="center"><svg height="11.75" id="M90" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.212502 11.75" width="35.212502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.75)">
<g transform="translate(72,-62.6)">
<text transform="matrix(1,0,0,-1,-71.95,62.83)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
<tspan style="font-size: 12.50px; " x="10.640053" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="14.115887" y="0">𝑚</tspan>
</text>
<text transform="matrix(1,0,0,-1,-48.96,67.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">∗</tspan>
</text>
</g>
</g>
</svg><br/> (10<sup>46</sup> g<sup>−1</sup> cm<sup>−3</sup>)</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td align="left"><span style="width: 34.737499px;"><svg height="16" id="M91" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">1</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.42</td><td align="center">2.40</td><td align="center">8.09</td><td align="center">6.82</td></tr><tr><td align="left"><span style="width: 34.737499px;"><svg height="16" id="M92" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">2</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.50</td><td align="center">2.73</td><td align="center">2.40</td><td align="center">9.04</td></tr><tr><td align="left"><span style="width: 34.737499px;"><svg height="16" id="M93" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 34.737499 16" width="34.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16)">
<g transform="translate(72,-59.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.99,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">n</tspan>
<tspan style="font-size: 8.75px; " x="7.2904158" y="0">d</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.32,60.48)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.86</td><td align="center">2.25</td><td align="center">0.82</td><td align="center">6.80</td></tr><tr><td align="left"><span style="width: 33.200001px;"><svg height="15.775" id="M94" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.775)">
<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">1</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">2.82</td><td align="center">2.44</td><td align="center">1.87</td><td align="center">5.83</td></tr><tr><td align="left"><span style="width: 33.200001px;"><svg height="15.775" id="M95" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.775)">
<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">2</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.01</td><td align="center">2.83</td><td align="center">2.74</td><td align="center">8.38</td></tr><tr><td align="left"><span style="width: 33.200001px;"><svg height="15.775" id="M96" style="vertical-align:-4.37273pt" version="1.1" viewbox="0 0 33.200001 15.775" width="33.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.775)">
<g transform="translate(72,-59.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">Y</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">b</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.55,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">,</tspan>
<tspan style="font-size: 8.75px; " x="2.188" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.20</td><td align="center">2.94</td><td align="center"> 10.50</td><td align="center">9.57</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

International Scholarly Research Notices

tab3

Table 3

Table 3: Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters 

Table 3 | Quantum Effects of Indium/Ytterbium Doping  on ZnO-Like Nano-Condensed Matter in terms of Urbach-Martienssen and Wemple-DiDomenico Single-Oscillator Models Parameters 